Finite Rank Perturbations, Scattering Matrices and Inverse Problems

被引：0

作者：

Behrndt, Jussi ^{[1
]}

Malamud, Mark M. ^{[2
]}

Neidhardt, Hagen ^{[3
]}

机构：

[1] Tech Univ Berlin, Inst Math, MA 6-4,Str 17,Juni 136, D-10623 Berlin, Germany

[2] Donetsk Natl Univ, Dept Math, UA-83055 Donetsk, Ukraine

[3] Weierstrass Inst Angewandte Anal Stochastik, D-10117 Berlin, Germany

来源：

RECENT ADVANCES IN OPERATOR THEORY IN HILBERT AND KREIN SPACES | 2010年 / 198卷

关键词：

Scattering system; scattering matrix; boundary triplet; Weyl function; dissipative operator; Lax-Phillips scattering; GENERALIZED RESOLVENTS; OPERATORS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper the scattering matrix of a scattering system consisting of two selfadjoint operators with finite-dimensional resolvent difference is expressed in terms of a matrix Nevanlinna function. The problem is embedded into an extension theoretic framework and the theory of boundary triplets and associated Weyl functions for (in general nondensely defined) symmetric operators is applied. The representation results are extended to dissipative scattering systems and an explicit solution of an inverse scattering problem for the Lax-Phillips scattering matrix is presented.

引用

页码：61 / +

页数：3

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